We use similar arguments as in [1]}.
Making use of Fourier localization technique and the method of modulus of continuity [2]},
we prove the global well-posedness of the critical Burgers equation (REF )
in critical Besov spaces \(\dot{B}^{\frac{1}{p}}_{p,1}(\mathbb {R})\)  with \(p\in [1,\infty )\) .
